1. Loc Nguyen (2016). Mathematical Approaches to User Modeling (Accepted on 2015, January 4)
    Type Book
    Abstract The first edition of the book Mathematical Approaches to User Modeling is developed from my PhD dissertation “A User Modeling for Adaptive Learning”. It was accepted on 4th January 2015 by Scientific Research Publishing (SCIRP) and finished on 13rd July 2016 but it is not published yet. Following is the abstract of the book.
    User model is description of user's information and characteristics in abstract level. User model is very important to adaptive software which aims to support user as much as possible. The process to construct user model is called user modeling. As the title suggests, the book focuses on mathematical approaches to user modeling. The book includes seven main chapters:
    • Chapter I is a survey of user model, user modeling, and adaptive learning.
    • Chapter II introduces the general architecture of the proposed user modeling system Zebra and Triangular Learner Model (TLM).
    • Chapter III, IV, V describes three sub-models of TLM such as knowledge sub-model, learning style sub-model, and learning history sub-model in full of mathematical formulas and fundamental methods. These are the most important chapters.
    • Chapter VI gives some approaches to evaluate TLM and Zebra.
    • Chapter VII summarizes the research and discusses future trend of Zebra.
    The whole book is available at
    In general, the first difference of the book is to introduce my innovative works in mathematics, probability, user modeling, machine learning, data mining, and adaptive learning. The second difference is that the user modeling system Zebra is implemented as computer software associated to the book, available at:
    Moreover, examples, mathematical formulas, and mathematical models inside the book are implemented separately and integrated into another computer software.
    In Publisher: Scientific Research Publishing (SCIRP).
    Address 1: Scientific Research Publishing Inc., Building 5, Headquarters Space of Optical Valley, Tangxun Lake North Road #38, East Lake High-Tech Development Zone, Wuhan 430223, Hubei Province, China.
    Address 2: Scientific Research Publishing Inc., P. O. BOX 54821, Irvine CA 92619-4821, USA.
    Founder: Professor Huaibei Zhou.
    Skype: scirp_service
    Tel: +1-209-266-2606
    WPA: 1655362766
    Identifiers Open Access.
    Citations Nguyen, L. (2016). Mathematical Approaches to User Modeling. Long Xuyen, An Giang, Vietnam: Scientific Research Publishing (SCIRP).
    Indexed CABI, CrossRef, DOAJ, EBSCO, Google Scholar, Index Copernicus, Open Access Library, PMC, Portico, ProQuest, Thomson Reuters, ProQuest
    Categories Mathematics and Statistics


  2. Loc Nguyen (2015, December 15). Matrix Analysis and Calculus
    Type Book
    Abstract Statistics, multivariate data analysis and convex optimization are applied widely in many scientific domains and most analytical techniques are developed based on matrix analysis and matrix calculus because matrix is abstract representation of multivariate data. Although it is slightly confused for us to comprehend their concepts and theories, matrix analysis and calculus give us exciting results which enhance data analysis techniques to be more plentiful and accurate. So the report is survey of matrix analysis and calculus, which includes five main sections such as basic concepts, matrix analysis, matrix derivative, composite derivative, and applications of matrix. Matrix derivative and composite derivative are subjects of matrix calculus.
    Keywords: Matrix Algebra, Matrix Analysis, Matrix Calculus.
    In Publisher: Lambert Academic Publishing, a trademark of OmniScriptum GmbH & Co. KG.
        Address: OmniScriptum GmbH & Co. KG, Heinrich-Böcking-Str. 6-8, Saarbruecken 66121, Germany.
        Fax: +49 681 93 81 567-9
    Editor: Carolyn Evans
    Identifiers ISBN-13: 978-3-659-69400-4, ISBN-10: 3659694002
    EAN: 9783659694004
    Number of pages: 72
    Citations Nguyen, L. (2015, December 15). Matrix Analysis and Calculus (1st ed.). (C. Evans, Ed.) Hanoi, Vietnam: Lambert Academic Publishing. Retrieved from
    Categories Mathematics
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Last updated February 2017

Abstracting and indexing